'awesome-lua' is not typically a phrase/term referring to the Awesome WM. On GitHub, there is only one awesome-wm-related repo by the name `awesome-lua`; it's just one person's configuration and hasn't been updated since 2012. I don't think I'm stepping on anybody's toes here.
Typically, the window manager is referred to as either just 'awesome' or as 'awesome wm'. awesome-lua is not a name conflict with 'awesome' or with 'awesome wm', and the worst case for search results is that awesome-lua shows up and bumps everything else down by one spot. As klibertp suggested, adding 'wm' to your query makes awesome-lua not show up at all; claiming that I 'make life a lot more difficult' is rather silly.
